It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In 20 min, the bucket is 1/8 of the way full. What is the rate at which the water is leaking per hour? and what is the longest time he can be away from the house before the bucket will overflow?

Answers

Answer 1

Step-by-step explanation:

You start by asking yourself or as I call it crossmultiply

if 20 min the bucket is 1/8 full what about 8/8 or a whole

20×8/8×1/8

=160 min or 2.6 hrs

Answer 2

Answer:

[tex]2\frac{1}{2} hours[/tex]

Step-by-step explanation:

What is the rate at which the water is leaking per hour?

rate: [tex]\frac{1}{5} buckets = \frac{1}{5}/ \frac{1}{2} buckets/ hr\\ ----\\\frac{1}{2} hour = \frac{2}{5} buckets/ hr[/tex]

Write an equation that represents the relationship between the number of buckets filled, , in hours.

[tex]y=\frac{2}{5}x[/tex]

What is the longest that Jeremy can be away from the house before the bucket will overflow?

[tex]\frac{5}{2}[/tex] or  [tex]2\frac{1}{2} hours[/tex]


Related Questions

True or false 6 to the 3 power = 216

Answers

Answer:

True

Step-by-step explanation:

6^3, or 6x6x6, is equal to 216.

---

hope it helps

Answer:

true

Step-by-step explanation:

1/3(1/6 + 5/12) - 1/36

Answers

Answer:

1/6

Step-by-step explanation:

Apply the distributive property.

1/3 x 1/6 = 2/36

1/3 x 5/12 = 5/36

Add the products.

2/36 + 5/36 = 7/36

Subtract the result by the 1/36.

7/36 - 1/36 = 6/36

Simplify the fraction.

6/36 = 1/6

-hope it helps

Determine the slope of the line. what does it represent about the plant?

Answers

Answer: slope is 2/3

Step-by-step explanation:

Choose the equations that are not linear equations.



X/2 -y*3 = 1
O - x-y= 2.
x2 + y=4
x= 5

Answers

Answer:

#2 and #4

Step-by-step explanation:

Anything with a variable squared is not linear

Convert 20degrees Celsius to degrees Fahrenheit

Answers

Answer:

68 degrees fahrenheit.

Step-by-step explanation:

Formula:

(20°C × 9/5) + 32 = 68°F

Answer:

Its around 68F

Step-by-step explanation:

Hope this helped

(I need these answered asap and with work and explanation included)

Answers

Answer:

blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.

What are the terms in this expression: x + 7 - 3x + 6y (Check all that apply)

A is x
B is -4
C is -3x
D is 6y
E is +7

Answers

The answer is d and e
6y and +7

work out the perimeter of this semicircle the radius is 11cm take π to be 3.142 and write down all of the digits given by your calculator

Answers

The answer is 34.54 cm

What is the area and circumference of a circle?

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: Radius=11cm

Thus circumference of the semi-circle is = πr

                                                                      =3.14×11

                                                                       =34.54 cm

Hence, The answer is 34.54 cm

Learn more about circumference of a circle here:

https://brainly.com/question/14200825

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I honestly don’t know

Answers

Answer:

x=-3h

x=-12

Step-by-step explanation:

[tex]\frac{x}{h} +1=-2[/tex]

[tex]\frac{x}{h} =-3[/tex]

[tex]x=-3h[/tex]

[tex]x=-3(4)[/tex]

[tex]x=-12[/tex]

-3x + 4y = -15 and 4x - y = -19

Answers

Answer:x = -7y = -9Step-by-step explanation:-3x + 4y = -15

        4x - y = -19

=> -3x + 4y = -15

       4(4x - y) = 4(-19)

=> -3x + 4y = -15

            16x - 4y = -76

=> 13x = -91=> x = -7

Now, let's substitute the 'x' value in the equation.

=> -3(-7) + 4y = -15=> 21 + 4y = -15=> 4y = -21 - 15=> 4y = -36=> y = -9Conclusion:

Therefore, the answers are:

x = -7y = -9

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

(-7, -9).

( x = -7 and y = -9)

Step-by-step explanation:

-3x + 4y = -15  

  4x - y   = -19

Multiply second equation by 4:

16x - 4y = -76

Add this equation to the first to eliminate y:

13x = -15 + -76

13x = -91

x = -7.

Substitute this into equation 2:

4(-7) - y = -19

-y = -19 + 28

-y = 9

y = -9.

anybody help please hm​

Answers

Answer:

1

Step-by-step explanation:

if you use a calculator, it will come up as 1. I don't know why, but it does.

Hope this helps!

(789+890)=(2992) answer it and i give u a taco

Answers

Answer:

False

Step-by-step explanation:

789+890 = 1679

Answer:

789+890+1313=2992

Step-by-step explanation:

PLEASE HELP!!!!!! This is very important to me PLEASE HELP ASAP and if you help me god bless you

Answers

Answer:

try the 3rd one

Step-by-step explanation:

if it's not right then i'm sorry

Answer:

Below!

Step-by-step explanation:

The slope is un-defined because the x axis on both points are the same. Therefore, the slope is un-defined.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

A map of a nature park has a scale of 2 inches to 1.5 miles. There are two trails that are 8 inches apart on the map. What is the actual distance between the two trails?

Answers

Answer:

6 miles

Step-by-step explanation:

2 inches : 1.5 miles

8 inches : 4(2 inches)

8 inches : 4(1.5 miles)

8 inches : 6 miles

6 miles away

-Chetan K

The actual distance between the two trails is 6 miles.

Given the scale of the map is 2 inches to 1.5 miles, we can set up a proportion to find the actual distance between the two trails.

Let x represent the actual distance between the trails in miles. The proportion would be:

(2 inches / 1.5 miles) = (8 inches / x miles)

Now, solving for x:

2/1.5 = 8/x

Cross-multiplying:

2x = 1.5 × 8

2x = 12

Divide by 2:

x = 6

So, the actual distance between the two trails is 6 miles.

Learn more about proportion here:

https://brainly.com/question/1496357

#SPJ3

Evaluate the expression for x = 2 and y = 4.

Answers

Answer:

Not enough info

Step-by-step explanation:

Not enough info sry

What is the length of EF in the right triangle below?

Answers

I think it would be A.

Answer:

A.24

Step-by-step explanation:

EF=√(25)²-(7)²

EF=√625-49

EF=√576=24

Use the Right Triangle Alt. Thm., Pythag. Thm. and/or Similar Triangles to solve.​

Answers

Answer:

Step-by-step explanation:

Finding the Area of a Triangle
Calculate the area of the triangle:
A=

Answers

Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Just gonna attach a picture of the problem so it’s easier

Answers

Answer:

Step-by-step explanation:

Part A

The first thing you have to do is develop a formula for the line.

It goes through (-2,3)

It has a y intercept of (0,-1)

So far what you know is

y = mx - 1

x = - 2

y = 3

3 = m(-2) - 1                  Add 1 to both sides

3 + 1 = (-2)*m

4 = - 2*m                      Divide by - 2

4/-2 = m

m = - 2

The equation of the line is y = -2x - 1

Instead of y, we can use f(x)

f(x) = -2x - 1

Finally we can solve this part of the question.

f(1) = - 2(1) - 1

f(1) = -2 - 1

f(1) = - 3

Part B

f(x) = 5

y = 5

5 = -2x - 1           Add 1 to both sides

5+1 = - 2x           Divide by - 2

6 / -2 = -2x/-2

-3 = x

Solve the following.

Answers

Answer:

Step-by-step explanation:

The scale factor is 5.3 repeating. So I divided 24 by 5.33333333333333333 and got 4.5. I don't know if it's accurate since it's a reapeating decimal but it's close enough. Then I multiplied 2 by 5.3333333333333333333333 and got 10.6666667.

Here you go. 29-28+28+11-11=?

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

29-28=1

1+28=29

29+11=40

40-11=29

Thank you for this challenge that was half the challenge of a challenge........

Better hope you stay up long enough to see the animatronics. :)

Find the area of the cuboid.

Answers

Answer:

32

Step-by-step explanation:

area=2(lb+bh+lh)

2(3×2+3×2+2×2)

2(6+6+4)

2(16)

=32

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month. Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

The system of equations
c=52+8d
c−3d=82

can be used to represent this situation.
How many gigabytes would have to be used for the plans to cost the same? What would that cost be?

Answers

Answer:

Both plans would cost $100 if 6 gigabytes of data are used.

Explanation:

From the question, the system of equation are correctly represented by using small letter c to represent the total cost in dollars for both equations as already assumed in the question as follows:

c = 52 + 8d ........................... (1)

c = 82 + 3d ........................... (2)

Since c is common to both, equations (1) and (2) can therefore be equated and d solved for as follows:

52 + 8d = 82 + 3d

8d - 3d = 82 - 52

5d = 30

d = 30 / 5

d = 6

Substituting d = 6 into equation (1), we have:

c = 52 + (8 * 6)

c = 52 + 48

c = 100

Since d = 6 and c = 100, it therefore implies that both plans would cost $100 if 6 gigabytes of data are used.

1) The height, h, in feet of a ball above the ground is given by h = -16t2 + 64t+ 80, where t is the time in seconds. How long does it take the ball to hit the ground? es A) 3 seconds B) 4 seconds 95 seconds D) 6 seconds​

Answers

Answer:

C) 5 seconds

Step-by-step explanation:

[tex]h = - 16t {}^{2} + 64t + 80[/tex]

When the ball hits the ground, the height is 0.

[tex]0 = - 16t {}^{2} + 64t + 80[/tex]

Factor out the greatest common factor: 16

[tex]0 = - 16(t {}^{2} - 4t - 5)[/tex]

Find numbers whose sum is -5 and product is - 4.

Those numbers are - 5 and 1: - 5 × 1 = - 5, - 5 + 1 = - 4

[tex]0 = - 16(t - 5)(t + 1)[/tex]

[tex]t - 5 = 0[/tex]

Or

[tex]t + 1 = 0[/tex]

So,

[tex]t = 5[/tex]

Or

[tex]t = - 1[/tex]

Since time cannot be a negative value the correct answer is 5 seconds.

The year the Greek city of Helike disappeared is -1/5 times the year the US Civil War ended. Let w represent the year the Civil War ended. Write an expression in terms of w to represent the year of Helike’s disappearance.

Answers

Variables:

w= The\ year\ Civil\ War\ ended

The year the Greek city of Helike disappeared is -1/5(w)

sry if im wrong i hope this helps tho :)

Answer:

Hope this helps

Step-by-step explanation:

-1/5x=w

w=1865

so -1/5x=1865

x=-9325

The product of a binomial and a trinomial is x 3 3 x 2 âÂ’ x 2 x 2 6 x âÂ’ 2. Which expression is equivalent to this product after it has been fully simplified? x3 5x2 5x â€"" 2 x3 2x2 8x â€"" 2 x3 11x2 â€"" 2 x3 10x2 â€"" 2.

Answers

The product of given binomial and trinomial is given by below polynomial:

[tex]x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]

Given polynomials:Trinomial : [tex]x^3+3x^2-x+2[/tex]Binomial: [tex]x^2+6x-2[/tex]

Explanation:

The expression formed by the sum of sub expressions which are product of constant integers with variables raised to some exponent is called polynomial.

Their product is given by:

[tex](x^3 + 3x^2 - x + 2) \times (x^2 + 6x -2)\\= x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 -6x^2 + 2x +2x^2 + 12x - 4\\= x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]

Thus the product of given binomial and trinomial is given by below polynomial:

[tex]x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]

Learn more here:

https://brainly.com/question/1477426

solve for value of x in simplest radical form

Answers

Answer:

3

Step-by-step explanation:

What theorem can be used to prove that the two triangles are congruent?

SAS
AAS
SSS
ASA

Answers

SSS is my best answer.
The SSS Triangle Congruency Postulate.

The two triangles have corresponding, congruent sides. Side QR corresponds to and is congruent to MN as denoted by the single hash mark. Sides QS and MP are corresponding and congruent sides as denoted by the three hash marks. Sides RS and NP are corresponding, congruent sides as denoted by the two hash marks. Therefore, as the SSS postulate states, if three sides in one triangle are corresponding, congruent sides to another triangle, the two triangles are congruent. In both triangles, the three corresponding sides are congruent; therefore, the triangles are congruent.

Someone please answer this and not one of those bot links answer it someone an actual person please answer it I’ll give you brainliest…

Answers

Answer:

1) y = 13.5x + 12) y = 12x + 43) Sam won the race

Step-by-step explanation:

Part 1

Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.

The distance after x seconds is:

y = 13.5x + 1Part 2

Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.

The distance after x seconds is:

y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4Part 3

After 15 seconds the distance from the start line is:

Sam   ⇒ y = 13.5*15 + 1 = 203.5 ftAlice  ⇒ y = 12*15 + 4 = 184 ft

As we see Sam is further from the start line than Alice

Is ∠ABC ≅ ∠ADC? Yes or no and why. PLEASE HELP ME? thanks. BRAINLIEST to CORRECT answers ONLY. PLEASE NO LINKS

Answers

yes the triangles are congruent by the HL Theorem
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